• Numerical studies on the synchronization of a network of mutually coupled simple chaotic systems

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      https://www.ias.ac.in/article/fulltext/conf/002/0012

    • Keywords

       

      Synchronization; strange non-chaotic attractors; master stability function.

    • Abstract

       

      We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for its different types of synchronization behavior. The chaotic attractors of the simple 2 × 2 matrix networkexhibiting strange non-chaotic attractors (SNAs) in their synchronization dynamics for smaller values of the coupling strength are reported. Further, the existence of islands of unsynchronized and synchronized states of SNAs for smaller values of coupling strength is observed. The process of complete synchronization (CS) observed in the network with all the systems exhibiting strange non-chaotic behavior is reported. The variation of the slope of the singular continuous spectra as a function of the coupling strength confirming the strange non-chaotic state of each of the system in the network is presented. The stability of CS observed in the network is studied using the master stability function.

    • Author Affiliations

       

      G SIVAGANESH1 A ARULGNANAM2 3 A N SEETHALAKSHMI4

      1. Department of Physics, Alagappa Chettiar Government College of Engineering & Technology, Karaikudi 630 004, India
      2. Department of Physics, St. John’s College, Palayamkottai 627 002, India
      3. Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli 627 012, India
      4. Department of Physics, The M.D.T Hindu College, Tirunelveli 627 010, India
    • Dates

       
  • Indian Academy of Sciences
    Conference Series | News

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